7990080 has 224 divisors, whose sum is σ = 30723840. Its totient is φ = 1720320.

The previous prime is 7990079. The next prime is 7990091. The reversal of 7990080 is 800997.

7990080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194860 + ... + 194900.

It is an arithmetic number, because the mean of its divisors is an integer number (137160).

Almost surely, 2^7990080 is an apocalyptic number.

7990080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

7990080 is an abundant number, since it is smaller than the sum of its proper divisors (22733760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7990080 is a wasteful number, since it uses less digits than its factorization.

7990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 7990080 is about 2826.6729559678. The cubic root of 7990080 is about 199.9172991409.

The spelling of 7990080 in words is "seven million, nine hundred ninety thousand, eighty".